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Finding the Fourth Proportional to 17,457.96, 24,091.93 and 9,905.77

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Solution

The fourth proportional to 17,457.96, 24,091.93 and 9,905.77 is: 13,669.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,457.96 : 24,091.93 = 9,905.77 : x
  2. Step 2: Convert to fraction form
    17,457.96/24,091.93 = 9,905.77/x
  3. Step 3: Cross multiply
    17,457.96x = 24,091.93 × 9,905.77
  4. Step 4: Simplify right side
    17,457.96x = 238,649,117.44
  5. Step 5: Solve for x
    x = 238,649,117.44/17,457.96
  6. Step 6: Final answer
    x = 13,669.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.